Plastic behaviour and stability constraints in the shakedown analysis and optimal design of trusses

Kaliszky, S.; Lógó, János

doi:10.1007/s00158-002-0222-2

Cited by 38 publications

(25 citation statements)

References 6 publications

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“…Load shakedown analysis via numerical and mathematical programming methods is relevant for civil engineering. This has been confirmed by the growing number of investigations in this field (Mróz et al 1995;Weichert et al 2002;Kaliszky and Lógó 2002;Pham 2003;Atkočiūnas et al 2004;Merkevičiūtė and Atkočiūnas 2006;Stonkus et al 2009;Žilinskaitė and Žiliukas 2008).…”

Section: Introductionmentioning

confidence: 76%

Integrated Load Optimization of Elastic‐plastic Axisymmetric Plates at Shakedown

Venskus

Kalanta

Atkočiūnas

et al. 2010

Journal of Civil Engineering and Management

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Abstract. An elastic-plastic axisymmetric steel bending plate subjected to a repeated variable load (RVL) is considered. The solution to the load optimization problem at shakedown is complicated because the stress-strain state of the dissipative systems (e.g. the plate plastic deforming) depends on their loading history. A new algorithm for the load optimization problem combining von Mises and Tresca yield criterion based on the Rosen project gradient method is proposed. The optimization results are obtained by integrating the existing software and that created by the authors.

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Section: Introductionmentioning

confidence: 76%

Integrated Load Optimization of Elastic‐plastic Axisymmetric Plates at Shakedown

Venskus

Kalanta

Atkočiūnas

et al. 2010

Journal of Civil Engineering and Management

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“…In the case of shakedown, the departure point is the determination of the fictitious generalized elastic stresses due to the load history [6]. The usual load system used in shakedown is composed of 'n' independent load cases.…”

Section: Geometrically Linear Shakedown Optimum Designmentioning

confidence: 99%

Elastic-plastic optimum design of frames taking into account semi-rigid connections

Nédli¹,

Lachal

2007

Per. Pol. Civil Eng.

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Classical rigid plastic optimum design cannot take into account displacement constraints or bounds on residual plastic strains which goal however maybe important when designing a structure. Using holonomic elastic-plastic constitutive law, the elastic-plastic optimum design problem can be formulated on the basis of the elastic-plastic analysis problem like the rigid plastic optimum design problem is based on rigid plastic limit analysis. In this way, the elastic properties can be included in the optimum design problem and also semi-rigid connections can be taken into account. This paper deals with several elasticplastic optimum design problems, namely, geometrically linear and nonlinear holonomic elastic-plastic optimum design and geometrically linear shakedown optimum design. Each of these problems leads to nonlinear programming. The different design problems are illustrated on a sample frame by using the MINOS mathematical programming package for the solution.Keywords holonomic elastic-plastic optimum design · geometrical nonlinearity · semi-rigid connection · shakedown optimum design · nonlinear programming AcknowledgementThe financial support of grant TÉT F-44/05 is gratefully acknowledged.

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“…Structural design evaluating plastic strains allows us to exploit carrying capacity of the structure more effectively and create more economical projects (Majid 1974;Atkočiūnas 1999;Choi and Kim 2002;Kaliszky and Logo 2002;Алявдин 2005). It is worth noticing that the assumptions of the limit equilibrium theory are referred to in many papers (Čyras et al 2004;Karkauskas 2007).…”

Section: Introductionmentioning

confidence: 99%

Saosys Toolbox as Matlab Implementation in the Elastic‐plastic Analysis and Optimal Design of Steel Frame Structures

Jankovski

Atkočiūnas

2010

Journal of Civil Engineering and Management

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Abstract. The improved mathematical model of steel frame structures' design is created. The loading is simple, and plastic strains are evaluated. Energy principles of deformable body mechanics and mathematical programming theory are employed. Equilibrium finite elements with interpolation functions of internal forces are used for discretization. The elements are designed using HE, IPE, RHS steel profile assortments and considering dispersion of geometrical characteristics of profile assortment sets. Optimal design of steel structures is realized by using the experimental tool system JWM SAOSYS Toolbox v0.42, which was created by the authors in MATLAB environment. SAOSYS architecture operates with objectoriented finite elements pseudo-polymorphously. The possibilities of this system are demonstrated by considering a numerical example of optimal design of industrial building frame with strength and stiffness constraints. The assumption of small displacements is adopted for computations.

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Plastic behaviour and stability constraints in the shakedown analysis and optimal design of trusses

Cited by 38 publications

References 6 publications

Integrated Load Optimization of Elastic‐plastic Axisymmetric Plates at Shakedown

Integrated Load Optimization of Elastic‐plastic Axisymmetric Plates at Shakedown

Elastic-plastic optimum design of frames taking into account semi-rigid connections

Saosys Toolbox as Matlab Implementation in the Elastic‐plastic Analysis and Optimal Design of Steel Frame Structures

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